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12118920538176 = 263273219872
BaseRepresentation
bin1011000001011010011111…
…1101000010100001000000
31120220120001102001101001100
42300112213331002201000
53042024022124210201
641435204421534400
72360364101631624
oct260264775024100
946816042041040
1012118920538176
113952672782311
121438889b74400
1369ba6a06763a
142dc7b7811184
1516039324a886
hexb05a7f42840

12118920538176 has 189 divisors, whose sum is σ = 35236794845421. Its totient is φ = 3982297457664.

The previous prime is 12118920538157. The next prime is 12118920538183. The reversal of 12118920538176 is 67183502981121.

The square root of 12118920538176 is 3481224.

It is a perfect power (a square), and thus also a powerful number.

12118920538176 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 8 + 92 + 0 + 538 + 17 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6879289665600 + 5239630872576 = 2622840^2 + 2289024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6099103455 + ... + 6099105441.

Almost surely, 212118920538176 is an apocalyptic number.

12118920538176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12118920538176 is the 3481224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12118920538176

12118920538176 is an abundant number, since it is smaller than the sum of its proper divisors (23117874307245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12118920538176 is an frugal number, since it uses more digits than its factorization.

12118920538176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 12118920538176 in words is "twelve trillion, one hundred eighteen billion, nine hundred twenty million, five hundred thirty-eight thousand, one hundred seventy-six".